
subspace proof
Hi there,
Be M a set and K a field. Now I shall prove that
V(A) = {f el map(M,K)  f(x)=0, if x isn't el A)
really is a vector subspace of map(M,K) for subset $\displaystyle A \subset M$.
I got more tasks similar to that one and I'ld gladly see how I have to use the terms for subspaceproofs, 'cause I haven't any idea.
Many thanks,
Marc

i don't understand your notations,but to prove that a set is vector subspace,you should prove that is,
Closed under addition.
Closed under scalar multiplication (and therefore it contains the zero vector).

What isn't clear regarding my notations? But I try it again:
V(A) = {f $\displaystyle \in$ map(M,K)  f(x)=0 if x $\displaystyle \not\in$ A)
Better?
I already noticed the terms, but I have no idea what values exactly I should insert to prove them. And how the result will look like.
Thanks so far!